A company manufactures two products, A and B, using two machines I and II. To manufacture a unit of product A requires 6 minutes on Machine I and 5 minutes on Machine II. To manufacture a unit of product B requires 9 minutes on machine I and 4 minutes on machine II. There are 5 hours of machine time available in each work shift on machine I and 3 hours on machine II. The company realises a profit of $5 on each unit of product A and a profit of $7 on each unit of product B. The company wishes to determine the combination of products A and B that will yield the most profit. Let x be the number of product A to be produced. Let y be the number of product B to be produced.

A company manufactures two products, A and B, using two machines I and II.
To make a unit of product A requires 6 minutes on Machine I and 5 minutes on Machine II.
To make a unit of product B requires 9 minutes on machine I and 4 minutes on machine II.

There are 5 hours (300 minutes) of machine time available in each work shift on machine I
and 3 hours (180 minutes) on machine II.